Explicit solutions of initial value problems for systems of linear Riemann–Liouville fractional differential equations with constant delay

Advances in Difference Equations

article

Hristova, S.¹  Agarwal, Ravi²  O’Regan, D.⁴ 

[1] University of Plovdiv “Paisii Hilendarski”;Department of Mathematics, Texas A&M University—Kingsville;Florida Institute of Technology;School of Mathematics, National University of Ireland

关键词: Riemann–Liouville fractional derivative;    Constant delay;    Initial value problem;    Systems of linear fractional equations;    Explicit solution;    q -matrix exponential function;   

DOI  :  10.1186/s13662-020-02643-8

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

A system of linear Riemann–Liouville fractional differential equations with constant delay is studied. The initial condition is set up similar to the case of the ordinary derivative. Explicit formulas for the solutions are obtained for various initial functions.

【 授权许可】

CC BY